Search a number
-
+
20730276 = 22337171613
BaseRepresentation
bin100111100010…
…1000110100100
31110000012121000
41033011012210
520301332101
62020153300
7341130060
oct117050644
943005530
1020730276
1110779a66
126b38830
1343aa948
142a78aa0
151c47486
hex13c51a4

20730276 has 96 divisors (see below), whose sum is σ = 65076480. Its totient is φ = 5571072.

The previous prime is 20730271. The next prime is 20730277. The reversal of 20730276 is 67203702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20730271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12046 + ... + 13658.

It is an arithmetic number, because the mean of its divisors is an integer number (677880).

Almost surely, 220730276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20730276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32538240).

20730276 is an abundant number, since it is smaller than the sum of its proper divisors (44346204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20730276 is a wasteful number, since it uses less digits than its factorization.

20730276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 20730276 is about 4553.0512845783. The cubic root of 20730276 is about 274.7061367802.

Adding to 20730276 its reverse (67203702), we get a palindrome (87933978).

The spelling of 20730276 in words is "twenty million, seven hundred thirty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1613 1836 2142 3213 3226 4284 4839 6426 6452 9678 11291 12852 14517 19356 22582 27421 29034 33873 43551 45164 54842 58068 67746 82263 87102 101619 109684 135492 164526 174204 191947 203238 246789 304857 329052 383894 406476 493578 575841 609714 740367 767788 987156 1151682 1219428 1480734 1727523 2303364 2961468 3455046 5182569 6910092 10365138 20730276